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Finding the Fourth Proportional to 655.38, 904.50 and 458.55

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Solution

The fourth proportional to 655.38, 904.50 and 458.55 is: 632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.38 : 904.50 = 458.55 : x
  2. Step 2: Convert to fraction form
    655.38/904.50 = 458.55/x
  3. Step 3: Cross multiply
    655.38x = 904.50 × 458.55
  4. Step 4: Simplify right side
    655.38x = 414,758.48
  5. Step 5: Solve for x
    x = 414,758.48/655.38
  6. Step 6: Final answer
    x = 632.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.